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30256648300 = 22522952319949
BaseRepresentation
bin11100001011011011…
…111101000001101100
32220002122012222122201
4130023123331001230
5443431200221200
621522200551244
72120534160424
oct341333750154
986078188581
1030256648300
11119170a876a
125a44a82524
132b125c48b8
141670575484
15bc1422c6a
hex70b6fd06c

30256648300 has 72 divisors (see below), whose sum is σ = 68054238000. Its totient is φ = 11662398720.

The previous prime is 30256648291. The next prime is 30256648307. The reversal of 30256648300 is 384665203.

It is a self number, because there is not a number n which added to its sum of digits gives 30256648300.

It is not an unprimeable number, because it can be changed into a prime (30256648307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1506726 + ... + 1526674.

It is an arithmetic number, because the mean of its divisors is an integer number (945197750).

Almost surely, 230256648300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30256648300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34027119000).

30256648300 is an abundant number, since it is smaller than the sum of its proper divisors (37797589700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30256648300 is a wasteful number, since it uses less digits than its factorization.

30256648300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20515 (or 20508 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 30256648300 in words is "thirty billion, two hundred fifty-six million, six hundred forty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 523 580 725 1046 1450 2092 2615 2900 5230 10460 13075 15167 19949 26150 30334 39898 52300 60668 75835 79796 99745 151670 199490 303340 379175 398980 498725 578521 758350 997450 1157042 1516700 1994900 2314084 2892605 5785210 10433327 11570420 14463025 20866654 28926050 41733308 52166635 57852100 104333270 208666540 260833175 302566483 521666350 605132966 1043332700 1210265932 1512832415 3025664830 6051329660 7564162075 15128324150 30256648300